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Natali5045456 [20]
3 years ago
11

Factorise x^2 - 12x + 35

Mathematics
1 answer:
algol133 years ago
4 0
X² - 12x + 35 = (x-7)(x-5)
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PLS ANSWER ASAP
Gnoma [55]

9514 1404 393

Explanation:

<h3>Part 1.</h3>

The inverse of a function y = f(x) can be found by solving x = f(y) for y.

When we do that here, we find ...

  x=f(y)\\\\x=\dfrac{y+a}{b}\\\\bx=y+a\\\\y=bx-a

When we compare this to g(x), which we want to be the inverse of f(x), we see that ...

  cx -d = bx -a   ⇒   b=c, and d=a

We can choose a=d=1 and b=c=2 to make the two functions inverses:

  f(x) = (x +1)/2

  g(x) = 2x -1

__

<h3>Part 2.</h3>

The inverse of f(x) is g(x) if f(g(x)) = x.

  f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f

__

<h3>Part 3.</h3>

Same as Part 2, but in reverse.

  g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x

__

<h3>Part 4.</h3>

The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.

6 0
3 years ago
What are the solutions to the equation <br> 0=x^2-10x+10
d1i1m1o1n [39]
X: 5/4 ( forme différents): 1,25
4 0
2 years ago
25=10+5k<br> What does k equal?<br> I need help!
Lunna [17]
The answer is 3.

First do 25 - 10 and you get 15

The final step is to do 15 divided by 5 and you get the final answer which is 3.
7 0
3 years ago
Read 2 more answers
Three fifths of the cast in a musical have to sing.What fraction on the cast does not have to sing?
notka56 [123]
The term "three fifths" is equivalent to \frac{3}{5}.
If \frac{3}{5} of the cast is singing, then we just have to find the rest of the fraction.
1- \frac{3}{5} \\  \frac{5}{5}- \frac{3}{5}    \\  \frac{2}{5}
7 0
2 years ago
Read 2 more answers
Absolute Bagels makes bagels using two different recipes, one recipe for regular bagels
shutvik [7]

Answer:

At its most basic, traditional bagel dough contains wheat flour (without germ or bran), salt, water, and yeast leavening. Bread flour or other high gluten flours are preferred to create the firm, dense but spongy bagel shape and chewy texture.

Step-by-step explanation:

A bagel (Yiddish: בײגל, romanized: beygl; Polish: bajgiel; also historically spelled beigel)[1] is a bread product originating in the Jewish communities of Poland. It is traditionally shaped by hand into the form of a ring from yeasted wheat dough, roughly hand-sized, that is first boiled for a short time in water and then baked. The result is a dense, chewy, doughy interior with a browned and sometimes crisp exterior. Bagels are often topped with seeds baked on the outer crust, with the traditional ones being poppy and sesame seeds. Some may have salt sprinkled on their surface, and there are different dough types, such as whole-grain and rye.

The earliest known mention of a boiled-then-baked ring-shaped bread can be found in a 13th-century Arabic cookbook, where they are referred to as ka'ak.[4] Today, bagels are widely associated with Ashkenazi Jews from the 17th century; it was first mentioned in 1610 in Jewish community ordinances in Kraków, Poland.Bagel-like bread known as obwarzanek was common earlier in Poland as seen in royal family accounts from 1394.

Bagels are now a popular bread product in North America and Poland, especially in cities with a large Jewish population, many with alternative ways of making them. Bagels are also sold (fresh or frozen, often in many flavors) in supermarkets.

The basic roll-with-a-hole design is hundreds of years old and has other practical advantages besides providing more even cooking and baking of the dough: The hole could be used to thread string or dowels through groups of bagels, allowing easier handling and transportation and more appealing seller displays.

8 0
1 year ago
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